document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970012>Question 970012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3 names will be picked from a jar to be on a team. There are a total of 9 names in the jar. How many different combinations of names can be pick? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592865 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Picking them one by one,<BR>\n" );
document.write( "you would have 9 choices for the first pick,<BR>\n" );
document.write( "which in each case would leave 8 choices for the second pick,<BR>\n" );
document.write( "which in each case would leave 7 choices for the third pick.<BR>\n" );
document.write( "All in all, there would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A8%2A7 ALIGN=MIDDLE  ALT=\"9%2A8%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > permutations of names picked in sequence.<BR>\n" );
document.write( "However, each 3-name combination can be picked in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2 ALIGN=MIDDLE  ALT=\"3%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > different orders<BR>\n" );
document.write( "(3 possibilities for first pick, and 2 for the second pick).<BR>\n" );
document.write( "Since it does not seem that you care about picking order,<BR>\n" );
document.write( "and those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A8%2A7 ALIGN=MIDDLE  ALT=\"9%2A8%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > permutations include<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2 ALIGN=MIDDLE  ALT=\"3%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > different picking orders of the each 3-names combinations,<BR>\n" );
document.write( "the number of possible combinations is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A8%2A7%2F%283%2A2%29=%289%2F3%29%2A%288%2F2%29%2A7=3%2A4%2A7=84 ALIGN=MIDDLE  ALT=\"9%2A8%2A7%2F%283%2A2%29=%289%2F3%29%2A%288%2F2%29%2A7=3%2A4%2A7=84\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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